Loosely bound three-body nuclear systems in the J-matrix approach

Yu A. Lurie, A. M. Shirokov

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


We discuss the extension of the oscillator-basis J-matrix formalism on the case of true A-body scattering. The formalism is applied to loosely bound 11Li and 6He nuclei within three-body cluster models 9Li+n+n and α+n+n. The J-matrix formalism is used not only for the calculation of the three-body continuum spectrum wave functions but also for the calculation of the S-matrix poles associated with the 11Li and 6He ground states to improve the description of the binding energies and ground state properties. The effect of the phase equivalent transformation of the n-α interaction on the properties of the 6He nucleus is examined.

Original languageEnglish
Pages (from-to)284-318
Number of pages35
JournalAnnals of Physics
Issue number2
StatePublished - Aug 2004


  • J-matrix
  • Neutron halo
  • Three-body cluster model


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